%0 Journal Article %1 PhysRevB.108.075122 %A Sun, Junsong %A Li, Chang-An %A Feng, Shiping %A Guo, Huaiming %D 2023 %I American Physical Society %J Phys. Rev. B %K a %N 7 %P 075122 %R 10.1103/PhysRevB.108.075122 %T Hybrid higher-order skin-topological effect in hyperbolic lattices %U https://link.aps.org/doi/10.1103/PhysRevB.108.075122 %V 108 %X We investigate the non-Hermitian Haldane model on hyperbolic 8,3 and 12,3 lattices and showcase its intriguing topological properties in the simultaneous presence of non-Hermitian effect and hyperbolic geometry. From bulk descriptions of the system, we calculate the real-space non-Hermitian Chern numbers by generalizing the method from its Hermitian counterpart and present a corresponding phase diagram of the model. For boundaries, we find that skin-topological modes appear in the range of the bulk energy gap under certain boundary conditions, which can be explained by an effective one-dimensional zigzag chain model mapped from a hyperbolic lattice boundary. Remarkably, these skin-topological modes are localized at specific corners of the boundary, constituting a hybrid higher-order skin-topological effect on hyperbolic lattices.

@article{PhysRevB.108.075122, abstract = {We investigate the non-Hermitian Haldane model on hyperbolic {8,3} and {12,3} lattices and showcase its intriguing topological properties in the simultaneous presence of non-Hermitian effect and hyperbolic geometry. From bulk descriptions of the system, we calculate the real-space non-Hermitian Chern numbers by generalizing the method from its Hermitian counterpart and present a corresponding phase diagram of the model. For boundaries, we find that skin-topological modes appear in the range of the bulk energy gap under certain boundary conditions, which can be explained by an effective one-dimensional zigzag chain model mapped from a hyperbolic lattice boundary. Remarkably, these skin-topological modes are localized at specific corners of the boundary, constituting a hybrid higher-order skin-topological effect on hyperbolic lattices.}, added-at = {2024-02-21T15:41:27.000+0100}, author = {Sun, Junsong and Li, Chang-An and Feng, Shiping and Guo, Huaiming}, biburl = {https://www.bibsonomy.org/bibtex/2848dc06acbcb0662e86ea843224cfd2c/ctqmat}, day = 09, doi = {10.1103/PhysRevB.108.075122}, interhash = {74a5aed269b2fa44de3eb121cffaa2fc}, intrahash = {848dc06acbcb0662e86ea843224cfd2c}, journal = {Phys. Rev. B}, keywords = {a}, month = {08}, number = 7, numpages = {9}, pages = 075122, publisher = {American Physical Society}, timestamp = {2024-02-21T15:41:27.000+0100}, title = {Hybrid higher-order skin-topological effect in hyperbolic lattices}, url = {https://link.aps.org/doi/10.1103/PhysRevB.108.075122}, volume = 108, year = 2023 }